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Finding the Fourth Proportional to 357,896.76, 536,451.46 and 147,419.88

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Solution

The fourth proportional to 357,896.76, 536,451.46 and 147,419.88 is: 220,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,896.76 : 536,451.46 = 147,419.88 : x
  2. Step 2: Convert to fraction form
    357,896.76/536,451.46 = 147,419.88/x
  3. Step 3: Cross multiply
    357,896.76x = 536,451.46 × 147,419.88
  4. Step 4: Simplify right side
    357,896.76x = 79,083,609,859.02
  5. Step 5: Solve for x
    x = 79,083,609,859.02/357,896.76
  6. Step 6: Final answer
    x = 220,967.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.